- Cankaya University Journal of Science and Engineering
- Vol: 19 Issue: 1
- Graph Translation Surface in the Lorentz-Heisenberg 3-space with constant curvatures
Graph Translation Surface in the Lorentz-Heisenberg 3-space with constant curvatures
Authors : Zoubır Hanifi, Brahim Medjahdi
Pages : 13-21
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Publication Date : 2022-05-01
Article Type : Research
Abstract :In this paper, we study graph translation surfaces in a 3-dimensional Lorentz-Heisenberg 3-space H3. The classification theorems of the considered surfaces with zero and nonzero mean and Gaussian curvatures are given. Contrary to the Euclidean case, there is evidence that , translation surfaces with constant Gaussian curvature K that are not cylindrical surfaces, with constant mean curvature H ̸= 0 which are not settled.Keywords : Lorentz-Heisenberg 3-space, Graph Translation Surface, Mean curvature, Gaussian curvature.